10131332000113 has 8 divisors (see below), whose sum is σ = 10878381336960. Its totient is φ = 9401070288960.

The previous prime is 10131332000003. The next prime is 10131332000117. The reversal of 10131332000113 is 31100023313101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10131332000113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10131332000117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4196905173 + ... + 4196907586.

It is an arithmetic number, because the mean of its divisors is an integer number (1359797667120).

Almost surely, 2^{10131332000113} is an apocalyptic number.

It is an amenable number.

10131332000113 is a deficient number, since it is larger than the sum of its proper divisors (747049336847).

10131332000113 is an equidigital number, since it uses as much as digits as its factorization.

10131332000113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8393812847.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 10131332000113 its reverse (31100023313101), we get a palindrome (41231355313214).

The spelling of 10131332000113 in words is "ten trillion, one hundred thirty-one billion, three hundred thirty-two million, one hundred thirteen", and thus it is an aban number.